What is the derivative of 2sin(x+3cos(x)) ?

The derivative of 2sin(x+3cos(x)) is 2cos(x)-3sin(x)

What is the first derivative of 2sin(x+3cos(x)) ?

The first derivative of 2sin(x+3cos(x)) is 2cos(x)-3sin(x)

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\frac{d}{d x} (2 sin (x) + 3 cos (x))

2 cos (x) - 3 sin (x)

Solution steps

\frac{d}{d x} (2 sin (x) + 3 cos (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 sin (x)) + \frac{d}{d x} (3 cos (x))

\frac{d}{d x} (2 sin (x)) = 2 cos (x)

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

= 2 cos (x) - 3 sin (x)

\frac{\partial}{\partial y} (2 x y^{2} - 3)

x \to 1 lim (\frac{x + 4}{x + 2})

\frac{d}{d x} (4 + 3 x)

\int cos (\frac{mπ x}{2}) d x

x \to \infty lim (1 - 2 x)

What is the derivative of 2sin(x+3cos(x)) ?
The derivative of 2sin(x+3cos(x)) is 2cos(x)-3sin(x)
What is the first derivative of 2sin(x+3cos(x)) ?
The first derivative of 2sin(x+3cos(x)) is 2cos(x)-3sin(x)